Question

The value of magnetic field induction, which is uniform, is 2T. What is the flux passing through a surface of area $1.5{{m}^{2}}$ perpendicular to the field?
A: $3T$
B: $1Wb/{{m}^{2}}$
C: $2T$
D: None of the above

Answer 1

Hint: As the magnetic field increases, the field lines that penetrate through any surface increases. The surface is to be placed perpendicular to the field. Since the question satisfies these conditions, we can easily calculate the flux by following this principle.

Formula used:
Magnetic flux passing through a surface can be calculated by the formula
$\phi =BA\cos \theta $
Where \[\phi \]is the magnetic flux generated, B is the magnetic field intensity and A is the area of the surface through which the magnetic field lines penetrate.

Complete step by step answer:
Magnetic flux can be defined as a measurement of the magnetic field that passes through a particular area. It helps us to identify the impact of the magnetic force on a given area.
Here, we are given that the Magnetic field induction B is 2T and the surface area A is 1.5m²
Magnetic flux is the dot product of the magnetic field and the area of the surface.
$\phi =BA\cos \theta $
As the magnetic field lines are perpendicular to the area of the surface, the value of $\theta ={{90}^{\circ }}$
Thus,
 $\begin{align}
  & \phi =1.5\times 2\times \cos 90 \\
 & =3Wb \\
\end{align}$
Hence, we can conclude that none of the given options are correct.

So, the correct answer is “Option D”.

Note:
One weber can be defined as the flux that produces unit voltage when linking a circuit of a single turn, as it decreases to zero in one second, at a uniform rate.
This definition might come handy while solving questions related to magnetic flux.
The magnetic flux value depends on the magnetic field direction and it is a vector quantity.